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Finding the Fourth Proportional to 5,160.86, 7,744.36 and 1,874.21

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Solution

The fourth proportional to 5,160.86, 7,744.36 and 1,874.21 is: 2,812.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,160.86 : 7,744.36 = 1,874.21 : x
  2. Step 2: Convert to fraction form
    5,160.86/7,744.36 = 1,874.21/x
  3. Step 3: Cross multiply
    5,160.86x = 7,744.36 × 1,874.21
  4. Step 4: Simplify right side
    5,160.86x = 14,514,556.96
  5. Step 5: Solve for x
    x = 14,514,556.96/5,160.86
  6. Step 6: Final answer
    x = 2,812.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.